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can you explain inverse operations to solve an inequality program?

Inverse operations are like "opposites", what undoes the operation. Multiplication and division are inverses, as are addition and subtraction. For example, if you have 4x+2=10, you have to use the inverse of addition (subtraction) to get rid of the 2.
4x+2=10
Subtract 2 from both sides.
4x=8
Divide (inverse of multiplication, the 4 is attached to the x by multiplication) both sides by 4
x=2

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